Answer:
B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
35 gas ovens
A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:
[tex]\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]
40 electric ovens.
The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.
[tex]\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]
Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?
By the Central Limit Theorem, the shape is approximately normal.
Mean: [tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]
Standard deviation:
[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92[/tex]
So the correct answer is given by option b.
solve for the value of n
Answer:
n = 12
Step-by-step explanation:
4n - 2 + 3n + 8 + 90 = 180
combine like terms
7n + 96 = 180
-96 -96
7n = 84
divide by 7
n = 12
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Answer:
n = 12
Step-by-step explanation:
Remark
The two angles are complementary. That's because the third angle is a right angle.
Solution
4n - 2 + 3n + 8 + 90 = 180 Subtract 90 from both sides.
4n - 2 + 3n + 8 = 180 -90 Combine like terms.
7n + 6 = 90 Subtract 6 from both sides.
7n = 90 - 6
7n = 84 Divide by 7
n = 84/7
n = 12
h - 53 = 25 and
c -72 = 34
please i need help
Answer:
h=78
c=106
Step-by-step explanation:
Answer:
h = 78
c = 106
Step-by-step explanation:
h - 53 = 25
h = 25 + 53
h = 78
c - 72 = 34
c = 34 + 72
c = 106
can anyone solve this equation? (pls I really need it now)
a(x-b)=X
Answer:49
Step-by-step explanation:
Answer:
Solving for x: x= - ab/(1-a)
Solving for a: a= x/(x-b)
Solving for b: b=-x(1/a-1)
Choose True or False for each statement.
58.07 > 58.4
Choose...
29.6 = 29.600
Choose...
140.23 < 140.203
Choose...
108.505 > 108.5
Choose...
Answer:
58.07 > 58.4 is false.
29.6 = 29.600 is true.
140.23 < 140.203 is false.
108.505 > 108.5 is true.
Which scatterplot shows the correct division for using the Area Method to draw the trend line?
Answer:
A
Step-by-step explanation:
Got it right
The correct division for using the Area Method to draw the trend line is shown by Option A.
What is a Scatter Plot ?A scatter plot is the plot that consists of data that is randomly spread and doesn't have a fixed pattern , A trend has to be determined from the data to understand the pattern.
The given scatter plot shows an upstream and a downstream , The correct division will be from the point where it start following a fixed pattern , Which is in the Option A attached.
Therefore The correct division for using the Area Method to draw the trend line is shown by Option A.
The missing Options are attached with the answer
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Fernando can run 600 meters
in 5 minutes. At this rate,
how many minutes would it
take him to run 1,500
meters?
Answer:
12.5 minutes
Step-by-step explanation:
Given that,
Fernando can run 600 meters in 5 minutes.
We need to find how many minutes would it take him to run 1500 meters.
ATQ,
600 m = 5 min
1 m = (5/600) min
For 1500 m,
[tex]t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min[/tex]
So, it will take 12.5 minutes to run 1500 m.
Please help :) I'm confused on this question.
A line contains the points (-2, -8) and (3, 5). What is the slope of the line?
A. 13/5
B. -5/13
C. 5/13
D. -13/5
Answer:
Step-by-step explanations
A.13/5
(−1)^3⋅(−1)^2
simplify
Answer:
Step-by-step explanation:
(-1)³·(-1)² = (-1)·(1) = -1
Alternatively,
(-1)³·(-1)² = (-1)³⁺² = (-1)⁵ = -1
What are the x-intercept and y-intercept for this line: 5x − 3y = 15
Answer:
5x + 3y = 15 are (3,0) and (0,5).
Step-by-step explanation:
To learn how to find the x intercept, we will change the y for 0 and solve for x.
Find the area for the following figure.
O 124. 86 cm2
62.93 cm2
26.5 cm2
137.45 cm2
ther are 9 thirds in 3 ones a multiply and divide equashon
Answer:
That is a division equation.
Step-by-step explanation:
Need answer ASAP please help!
9514 1404 393
Answer:
31 square inches
Step-by-step explanation:
You can divide the shape into pieces several ways. The total area will be the sum of the areas of the pieces.
If we draw a horizontal line across the figure 2 inches up from the bottom, the figure is divided into a triangle and two rectangles.
The triangle has a base of 8 -3-2 = 3 inches, and a height of 4 -2 = 2 inches. Its area is ...
A = (1/2)(3 in)(2 in) = 3 in²
The rectangle below the line has a base of 8 inches and a height of 2 inches. Its area is ...
A = bh = (8 in)(2 in) = 16 in²
The rectangle above the line has a base of 3 inches and a height of 4 inches. Its area is ...
A = bh = (3 in)(4 in) = 12 in²
Then the total area of the figure is ...
(3 + 16 + 12) in² = 31 in² . . . . the area of the figure
A right triangle has a side length of 15 feet and a hypotenuse of 17 feet. What is the length of the missing leg? Round to the nearest tenth if necessary.
Answer:
the correct answe is the othe leg is 12 cm long.
Answer:
8 feet
Step-by-step explanation:
using the Pythagorean theorem:
17^2 = 15^2 + X^2
289 = 225 - X^2
X^2 = 64
X = 8 feet
a 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats sell for $20 each. at one event $29820 was collected in ticket sales with 20 seats left unsold. how many of each type of ticket was sold?
Answeeeeeeeeeeeeeeeeeeeeeeeeeeeeeqrqr
Step-by-step explanerqation:
eqrqrrqer
-2(x + y)2 for for x =-3, y = 2 with steps
Step-by-step explanation:
-2(-3+2)2
(-2×-3)+(-2×2)2
(6-4)2
2(6-4)
(2×6)+(2×-4)
12-8=4
if 1/2x + 3 = 3/4 - x, what is the Value of x?
Answer:
x=-2/9
Step-by-step explanation:
At Stater Brothers there is a gallon of ice cream for $4.75 it is on sale for 15%
off. How much is the price of the ice cream after the sale?
How much was saved?
Answer:
Price after sale: $4.04
$0.71 saved
Step-by-step explanation:
A local restaurant is having a special every Thursday evening . You may choose an appetizer , entrée, and dessert for one low price. There are 5 appetizers to choose from, 12 entrées to choose from, and 4 desserts to choose from. How many different possible combinations would there be of one of each category ?
5
12
4
21
240
The answer is 240 different possible combinations would there be of one of each category
What is fundamental counting principle ?
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.
It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m n\times m n×m ways to perform both of these actions.
He can choose an appetizer 5 ways.
For each of those 5 ways to choose an appetizer,
he can choose an entree 12 ways.
That's 5*12 = 60 ways he can choose an appetizer and an entree.
For each of those 60 ways to choose an appetizer and an entree,
he can choose a dessert 4 ways.
That's 60*4 = 240 ways he can choose an appetizer, an entree,
and a dessert.
Therefore 240 different possible combinations would there be of one of each category .
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a man uses 1/8 of his salary after tax on house rent, and a 3/5 on transport, food and other household items.
He then reserves 5/8 of the remainder on leisure and incidentals while saving the rest. if he saves$37135 every month. How much is his salary after tax.( round to the nearest whole number)
Answer:
let x be his salary after tax
house rent=1/8x
transport, food,=3/5x
total expenses, =1/8x + 3/5x
=29/40x
remainder amount =(x - 29/40x) = (1 - 29/40)x
leisure and incidentals,=5/8(1 - 29/40)x
amount saved = $37135
hence, the equation for his salary after tax is;
x = (29/40x) + 5/8(1 - 29/40)x + 37135
x = (29/40x) + (5/8x) - (29/64x) + 37135
x = (287/320x) + 37135
x - 287/320x = 37135
33/320x = 37135
x = 360096.97
to the nearest whole number, his salary after tax is $360097
Step-by-step explanation:
first represent his salary after tax by a variable
add the two expenses to get the total amount spent
substract the total amount spent from the variable to get the remainder
now fine 5/8 0f the remainder to get the amount spent on leisure and incidentals.
note that there was am amount that he saved.
base on this, we can now express an equation in terms of "
x" to calculate for his salary after tax
What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
How many times larger is 9 x 10^4 than 3 x 10^2?
Answer: [tex]300[/tex] [tex]times[/tex]
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
176.71^2 in
Step-by-step explanation:
yeh
a number w decided by 5 equals 6
Answer:
You write the question wrong but it's okay
Step-by-step explanation:
it will be 30
i hope my answer help you
Answer:
30
Step-by-step explanation:
equation:
[tex]\frac{w}{5} = 6[/tex]
multiply 5 on both sides:
[tex]\frac{w}{5}[/tex] x 5 = 6 x 5
x = 30
PLEASE ANSWER FAST.
I HAVE BEEN SO CONFUSED!? :(
A cone is placed inside A cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so it’s peak touches the edge of the cylinders base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?
Help me with this question please!,! (3/3)
Answer:
The first one = add three matches to the right side(on horizontal, two that or on top and bottom vertically.)
Second: Start with 5, and keep adding 3 until 26. 5 + 3+3+3+3+3+3+3
Or (26-5)/3 = 21/3 = 7
7 additions are needed so 7+1 = 8
Third: I believe you can answer this with this info
Step-by-step explanation:
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input: 1 2 3 4 n
output: -10 -13 -16 -19 (Blank)
Answer:
5; -22
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional.
Given the following data;
Input: 1 2 3 4 n
Output: -10 -13 -16 -19
For an input variable of 1, 2, 3, 4; the output variable is -10, -13, -16, -19 respectively.
To find the value of n;
We can deduce that the input is increasing by a value of 1.
Thus, n = 4 + 1 = 5
For the output;
We can deduce that the output is increasing by a value of -3.
Thus, the next output = -19 + (-3) = -22
Answer:
5; -22
Step-by-step explanation:
Hope this will help
how do i find the yield percentage?
Answer:
First make sure the both weights have the same units.
Take your experimental yield and divide it by the theoretical yield.
Multiply this value by 100 to find the percent yield.
Pete has an old playstation that he bought for $400.
The playstation depreciates by 30% each year
Answer:
1 year= $280
Step-by-step explanation:
30% of 400= 0.3 * 400= 120
400-120= 280
after one year the playstation cost 280
30% of 280= 0.3 * 280= 84
280-84= 196
after 2 years it cost $196
multiply the number by 0.3 to get 30% of the total
What is the sum of the polynomials
Answer:
it's B
4m-24n+3
Step-by-step explanation:
photo math